Homogenization of nonlinear scalar conservation laws
| dc.creator | Dalibard, Anne-Laure | |
| dc.date | 2007-06-14 | |
| dc.date.accessioned | 2026-07-07T12:09:36Z | |
| dc.date.available | 2026-07-07T12:09:36Z | |
| dc.description | We study the limit as $\e\to 0$ of the entropy solutions of the equation $\p_t \ue + \dv_x[A(\frac{x}{\e},\ue)] =0$. We prove that the sequence $\ue$ two-scale converges towards a function $u(t,x,y)$, and $u$ is the unique solution of a limit evolution problem. The remarkable point is that the limit problem is not a scalar conservation law, but rather a kinetic equation in which the macroscopic and microscopic variables are mixed. We also prove a strong convergence result in $L^1_{\text{loc}}$. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0706.2104 | |
| dc.identifier | http://arxiv.org/abs/0706.2104 | |
| dc.identifier | Archive for Rational Mechanics and Analysis (2008) ISSN: 0003-9527 (Print) 1432-0673 (Online) | |
| dc.identifier | doi:10.1007/s00205-008-0123-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209678 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B27 ; 35L60 | |
| dc.title | Homogenization of nonlinear scalar conservation laws | |
| dc.type | text |